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13903313136 = 2432418531409
BaseRepresentation
bin11001111001011001…
…11011100011110000
31022212221112111010120
430330230323203300
5211433222010021
610215340130240
71001352132426
oct147454734360
938787474116
1013903313136
11599506aa39
122840236980
13140758840b
1495c709116
155658d52c6
hex33cb3b8f0

13903313136 has 80 divisors (see below), whose sum is σ = 36133833120. Its totient is φ = 4606525440.

The previous prime is 13903313119. The next prime is 13903313141. The reversal of 13903313136 is 63131330931.

It is a junction number, because it is equal to n+sod(n) for n = 13903313097 and 13903313106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9866800 + ... + 9868208.

It is an arithmetic number, because the mean of its divisors is an integer number (451672914).

Almost surely, 213903313136 is an apocalyptic number.

13903313136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13903313136 is an abundant number, since it is smaller than the sum of its proper divisors (22230519984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13903313136 is a wasteful number, since it uses less digits than its factorization.

13903313136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 33.

The spelling of 13903313136 in words is "thirteen billion, nine hundred three million, three hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 241 482 723 853 964 1409 1446 1706 1928 2559 2818 2892 3412 3856 4227 5118 5636 5784 6824 8454 10236 11272 11568 13648 16908 20472 22544 33816 40944 67632 205573 339569 411146 616719 679138 822292 1018707 1201877 1233438 1358276 1644584 2037414 2403754 2466876 2716552 3289168 3605631 4074828 4807508 4933752 5433104 7211262 8149656 9615016 9867504 14422524 16299312 19230032 28845048 57690096 289652357 579304714 868957071 1158609428 1737914142 2317218856 3475828284 4634437712 6951656568 13903313136